{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['Solarize_Light2',\n",
       " '_classic_test_patch',\n",
       " '_mpl-gallery',\n",
       " '_mpl-gallery-nogrid',\n",
       " 'bmh',\n",
       " 'classic',\n",
       " 'dark_background',\n",
       " 'fast',\n",
       " 'fivethirtyeight',\n",
       " 'ggplot',\n",
       " 'grayscale',\n",
       " 'seaborn-v0_8',\n",
       " 'seaborn-v0_8-bright',\n",
       " 'seaborn-v0_8-colorblind',\n",
       " 'seaborn-v0_8-dark',\n",
       " 'seaborn-v0_8-dark-palette',\n",
       " 'seaborn-v0_8-darkgrid',\n",
       " 'seaborn-v0_8-deep',\n",
       " 'seaborn-v0_8-muted',\n",
       " 'seaborn-v0_8-notebook',\n",
       " 'seaborn-v0_8-paper',\n",
       " 'seaborn-v0_8-pastel',\n",
       " 'seaborn-v0_8-poster',\n",
       " 'seaborn-v0_8-talk',\n",
       " 'seaborn-v0_8-ticks',\n",
       " 'seaborn-v0_8-white',\n",
       " 'seaborn-v0_8-whitegrid',\n",
       " 'tableau-colorblind10']"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.style.available"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.linspace(-10, 10, 100) #默认生成50个\n",
    "y = np.sin(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use('dark_background')\n",
    "plt.plot(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cd9ZsfcoS1bkbOO2fgjNaQ283lMllxkWqaw+km8s/fibjo8DoELDNcGJcUQFs6/LNNmUmKuQ4OdsNtd3cjp8lih1qfU+mp/Q5O9s7TYfCk5SDoK9HL2tX15iORG9TZqJCVDiZnQHS/caXfgDogtrMAOsG/Ky/B2hohqpvMh3Jcit9v9QN0EpuWGZctmOvb3b+MFEhZ/X1ALX1QGOz6Uig6uqBlijrBnzMVQNH+w5gagIYzJiOhOzSdxrK8LLPErVjL3DmPcic9zsiM1EhR8nZbmD7DiMdaVejOnezn4qf9Z42v+NnkSqvANo6eb/5mPT2QLlhmREAoq1AZRXQ2206kqIxUSFnGW70tkLXbgg71PrWUmLsFrrxmz+m4+lCMj8HJHuNF9IuWe6I7IM6PCYq5Cg5a35r8vlU5x7AB3/ItJIsLAD9Z1wzowKArfT9LNUHlJaZOWh1DaqtA+g/azqMojFRIcfI/DzQ3+OKraLLOnYAo0O6zTr5S6ofKCkBonHTkSxTO/YAZ07pvwXyFentAbZ1GO1Iu8K2Dkh/j+koiuai3yj5XqoXKCnTa6cuoSqr9ZkcnFXxHentBrZ1QoVKTIfyvlgboBSQGTAdCVmtzz31UEtUWycwcNbzO82YqJBjdL1Ap7ueOLBUUMs6Fd/pPQ21rdN0FBdQoRDQuh0Y8P50PF1Iek8DbZ2mw7hQfBswOwMMZU1HUhR3jRjkb2fd0SF0hS620vcj6XVXIe0S1dYB8UHdAL1PRIC+HvfNqJSV6Vm8/jOmQykKExVyjBvO+FmNnh719h8yXUhEXLU1+QJt7RDeb/4yOgxMjAFtHaYjWUEnxt6+35iokCMkn9cDhwsTFbS1AyNDkCl2qPWNkSFgcsJ9U/EAVMIfOzHoPH09QCQOVVllOpKV2jqAPiYqRBvLpYFz54BEu+lIVlA1dUBDM+sG/KS3G4gl9OFsbtPWAWSSkHOzpiMhi0jfadf0T7mYnlHpMR1GUZiokDN6u4HEdqjSMtORrC6xnXUDPiJuXfYB9PERVVW67wb5g5s60l6srQNI9Xt6SzwTFXKEnHVZR9qLqEQ7Z1R8xK2FtMBix9AEC2r9RFx0xs8K4RhQWgqkvbslnokKOUJvTd5pOoy1JdohTFT8w80zKgBUW7vnd2KQJnPn9OyYS+83FQrpzzcPL/8wUSFnuO2Mn4twRsU/ZGYKyCSBdncOHACAtg4mxn4x0KsP/2uOmI5kTbqVvncTYyYqZDsZHQbGRgC3ruECush3bAQyPmY6EipWXw/Q0ARV32Q6kjWpBGdU/EIX0na65kT4VbW1e3qLMhMVst/ZbiDSqtvVu5SqrgGawpxV8QHpPe3aafhliXZgKAuZnjIdCRWr18X1KYtUW6enE2MmKmQ7ceEZGKtKbOd0vB+4vD4FAFRdA1DfyMTYB6SvB3DZUQ0rtHUAubReFvUgJipkv2QvkNhuOooNsU7FH3ThtnvroZb5oGNo0Lm6A/J5VH0jUNfg2UaDTFTIdpLs0wexuR13/nieLCwA/WdcPxUPMDH2heEcMD3lykaWK3i4gJuJCtlKRIBUH1R8m+lQNqTaOjhweF1mAFAKiLWajmRjnFHxvt4eIN4GVe7CDsgX8fLOHyYqZK/hQX3MeCxhOpKNtW4HJsYgYyOmI6GtSvYBsTaoUInpSDbEnT/epxu9dZoOY3PaOnQ9jQcxUSF7pXqBcMwbTxyVVUBLlIOHh0myF6rV/bN3APRywfgoZHzUdCS0VX097t9htkht6wT6z+hZbo9hokK2kmQf4IFln2WJdshAr+koaKtS/Z6531RVtU6MudzoWdLX450ZlUQ7MDEGjI+YjqRgTFTIXsleKC8U0i5Sie0cODxMUn2AV2ZUgMXW5pzB8yKZnweySe8kxhWVQCQO9HnvfmOiQrbSO3688YcMQB8Wx0TFk5YLtz10v+kCR95vnpRLA6ESoMW9rfNX8GgBNxMVsleqz1szKm16y6gX13EDb2RIF25HPVC4vaStHTLgvYGDoA8ijLZ6onB7iU6Me0yHUTAmKmQbmZzQZ/x46AkX8e3A9CQwOmQ6EipUqg9oiXqicHuJSugZFSbG3iMeabtwgbZOiAdn8JiokH2SvfpwuOpa05FsmqqoAMIx1ql4kK5P8c7sHQCdxM9M62385C1eq4fCeTPG+bzpUArCRIVsI8lezxSaXYAdar0p2QsVbzMdRUFUWbluTsflH88RD+0wWxZNAPkFIJcyHUlBmKiQfTxWn7JEtzbnFmWv8eTAASzu/GFi7CUiAiT7vJcYl5bq5W2P7fxhokK28dyOnyWcUfGmpAdrBrBUp+KtgSPwJsaAqQkg5q1EBdAtGCTVZzqMgjBRIft4rIfKkqXD4ljg6B0yPQWMDHqvRgW6boCJscck+4CmsO5m7TWxhG6M6CFMVMgWcm4WGMx4cyq+dRswM6NPRiVvSPUDtXVQdfWmIylcWweQPAvJL5iOhDZJ0v2Ax5Z9lsXaIJkB01EUhIkK2SPVD1RUAo3NpiMpmCor1x0c+ZTrGZLy2FEN54u0AgsLwGDWdCS0WSnv1acsUfE2zqgQAe9vFVVKmQ5lazgd7y0eLdwGFgscI3Eg7a2n3CDz3Blm54slgMlxyMSY6Ug2jYkK2cOjhY1LlupUyBv0VnhvPuEC0NPxTFS8w4vN3hapymqgodlTsypMVMgeyV5PFjYua93OU5S9JNXv2YEDAFQsAaS9M3AEmczNAbmMtxPjuLcSYyYqZAvx2OFwF1PxbZyK9wiZnwcySW8nxrGEpwaOQMskgfJyoLHFdCRbpmJtQNo7W5SZqJDlZGFBPx16euBoBaYmPLWOG1i5FKCUt06xvYgeODij4gmpPiDWBhXy8PDpscTYw79pcq1cWv9vOGY2jiLoddwmzqp4QaoPiCU8dYrtCrEEMJTV2/rJ1Tx5GOFFvLbzh4kKWS/Zq584Sjw8cABAtNVTTx1BJUlv16cA0MWN5RVA1ltnsARSqs/b9SmA7qibSXqmdw8TFbKceHzHzxI9Hc9ExfW8XrgN6G38LKj1BM+eKXW+cAyQvGd69zBRIev5YOAAwIHDI8QPT7jQiTFn8NxNRBZ79nj7flMlJYu9e7zx+ebJREXm50yHQOvQzd48/sQBQEUTnms1HTR64Oj39A6zZUyM3W90CJidAaIJ05EUz0OJcamVL5ZMJnH48GGMj4+juroa9957L7Zvv/DJ+tixY/jzP/9zJBLvv9EPP/wwysvLN3+hwYw/bhQfev+Jww8zKnrpR0S822HX70aHgelJIOaPREXefcN0FLSeZB/QHIEqrzAdSdFUzDsFtZYmKo8//jhuvfVW3HzzzThy5AgeffRRfOUrX1nxdYlEAn/xF3+x9QtlU0xU3Gp0CJiZ1k+HXheNA3PngJEhoMm7PRN8LdUHtEShKvwwcGzzzBNuUEm63xezxQB007dfPWc6ik2xbOlndHQU3d3duOmmmwAABw8eRC6XQyplfRW7ZJKWvyZZJLk4cPjhiaOsHGiOAFz+cS2/1KcA0L17xkchkxOmI6G1eLwD8vm81A3ZskRlcHAQjY2NKFnckqqUQjgcRi6XW/G16XQaX/jCF/Dggw/ihz/8YeEX4xY+1xK/FNIuiSX0UxS5k58GjupaoK6BibGLefowwovF24ChHGTW/b17LF362Yyuri489thjqK6uxuDgIL7yla+grq4ON9xww6pff/ToUbz++usAgLKyMhw6dAglQ1nU1tc7GTZt0tTIINDehWqL3p/y8nLUG3yvp7Z3AsM5y34eWl+h7/d4Nonyaz+MCp+8P+Nt7SgfG/LNz7MR03/fhRrNDKB6x26UeSjmtUhdHUaqalAzOYrSyC7HrvvEE09gbk5viNm3bx/279+/4fdYlqi0tLRgZGQECwsLKCkpgYggl8shHA5f8HXV1dUXfM+NN96Id999d81EZf/+/St+kPlkH8bG2NrcjRb6zkBdeQDzFr0/9fX1Rt/rfGMY8u4blv08tL5C3++Fvh7kb/8UZn3y/uRbYpjuOYXZff74eTZi+u+7EDI7g3wujan6ZiiPxLyhWAKT3SegmqO2X0ophdraWhw6dKjg77Vs6aehoQFdXV147jldnPPSSy+hpaUF8Xj8gq8bHh5GPp8HAExPT+PVV19FZ2dnYRcbHmSrabdKD0BFW01HYRk2fXMvmZkGhnKAx3taXID3m3ulB4CqGqC+0XQkllGxhG5g53KWLv187nOfw+HDh/H000+jqqoK9957LwDgsccew4EDB3DgwAG89NJL+NGPfoSSkhIsLCzguuuuwy233FLYhSoqdZ1KW4eV4VORZGEBGEwDPkpUEGsFsilIfsHbZ8n4UWZx4KhrNB2JZVQsgfzL3tiJETRLhdu+alUQ90ZibGmikkgk8PDDD6/49/fcc8/y/7/jjjtwxx13FHehSEz/cpmouMtQFoDSO2X8oiUGQHSr6Uh8wy8nB2WSQLTVXwMHe/e4V6pPH+bnJ7E2yBsvm45iQ57sTKsicfYbcKP0ABCOef8wwvN4rdV0kEgm6atlRgC6d8+5Wd27h9zFD2f8XEQvbffrRp0u5slEBZFWbuFzIckm/bXssySagKTZu8d1Mv6735Z79zAxdh3x5YxKApiaBMZHTUeyLm8mKtFWnsHiRn58woW3GiMFiW8TYw+dwRIUIqIT45i/EhVVUQk0hV1fp+LJREVF4gCfcF1H0gMcOMg5fk2M421MjN1mfEQfRhj2YZ1aLKELhV3Mk4kKoq3A6JDenkjukU1C+fAMJhXlUqPbyOyMruPwYaKiuyHzfnOVTBJobPbFmVIXUx7Y+ePNRKWmTm9L5ODhGrKwAGR9tjV5SawNGMxAFrspkgtkU0BFla+2Ji9h7x73ER/WQy3zwDEhnkxUlFKLv1wu/7jGUBaAAC32dzh0XGMzUFYGZHm/uUYmCUTj/tzCG0sAuRRkft50JLQkm9IlBz6kYttcnxh7MlEBoJcYOKPiHtkk0OKvrclLVCgE8H5zFd8W0gJAcxhQIWAwYzoSWpJJ6t2mfhRLAJmknhV3Kc8mKoi1uj4LDBJJ+3jgAFg34DY+LaQFoDsgR1tZUOsieunHf/V3AIDw4iz4YNpsHOvwbqISTXCLspv4eOAAFmfwmKi4hvj5CRdgYuw22ZRvP9/eT4zde795NlHRvS3c+4sNGj0V79MnDoBblN0m488dZkuWOoaSeTI5DkyO+/sIDZcX1Ho2UUE0AUyMQaYmTEdCgO9OTb4YE2P3kLlzwHCOS43kjEwKqK2Hqq4xHYltVCSuf06X8myiompqgdp6Nn5zAckvALmU7wcO9u5xiVxa78JqbDYdiW24Rdk9JOPTRpbni7RCskxU7OHy6arAGB4E8nl/bk1eUlsPVLN3jyss1qf4cmvyklgCGM7pxnZklo+3Ji9RkbjuTeRSnk5U2DHUJdIDQEsUqrTUdCS20b17WKfiBr5uvrWkrgGorHL14BEYQbjfonEgl9az4y7k6UQFsTYu/bhAIAYOLCbGTFTM8/kOM2AxMXb5U25Q+Lpnz5LmKCB5PTvuQt5OVLhF2R18esbPCqwbcIWgJMa6boAPYsZlU1B+3goP6Nnw5oiePXIhTycqKqaXfkTEdCiB5ttTky8WbWVNlBtkk74fOAD31w0EgcxMA6PDwfh8i8RdW1Dr6UQF0VZgahKYGDMdSbAFYCoeWFz6ybm3e2MQyPwckMv4u2fPkkgc4uIto4GQTQFV1bqY3udUpNW1ibGnExVVWQ00NHE63iDJ5/XNHZCBA+OjkJkp05EE12AWKCkBmlpMR2I7PaPizqn4wMgGYIfZkmjctUuNnk5UAOgtyqxTMWd4EFhYeP+8CD+rqdNPV1nOqhiTSQKRuD4o0u8icWAo6+rD4vxOMknfb01e4ualRs//tatIq2sLgAIhMwC0RKBKy0xHYrv3d2LwfjMlMIW0gC5uBIChrNk4gixI91tUL/24sebT84mKHjj4hGuKr08VXU04DuH9Zk5ACmkBQJWU6CaKLn3KDYJAJcbhODA9BUyMm45kBV8kKm5dVwuEgBTSLmHdgFmBGjiAxcSYiYoxAdiavERVVgH1ja78fPN8oqIice7EMChwA0eUMypGBS0xjjIxNiUQh19ezKVblD2fqHAnhmGZgWA0e1ukwhw4TJGFBf1QEriBg4mxEUuHXzY0mY7EMW6t+fR+osKdGMa8vzU5WAMHd2IYMpQFIO8XmQaA7m3hvoEjEDIpvTU5CDvMlrh0advz7wDPxDBoZAiYnwfCMdOROIc7MczJJoGWmC4yDYrFzzY37sTwO8kO6N9/kES59GMfFpyZkRkAmsNQZf7fmrxElZToZIX3m+MCVw8F6IeAmWl23zYhYPVQgHu70/oiUVGRGJBz3y/X7wI5cAD6sDjeb84L4sCxtBPDhXUDfidZvfQTKJE4MDoMmZ0xHckFfJGo6FNGOXA4LkBb986nIjG9fk2OCm5izBljIzJJvesqSOoagIoq182q+CJRUZGY636xgZBNAUH7QwaYGJsSwBkVYHE6njN4jpKFBWAwE7gZFbfWfPoiUUGkFRjMQPLcieEkyaX1dt2A0b173PWH7HfLO8wCNnAA0AMHZ/CcNZQFoAK1w2yZCw8n9Eei0hQGRIChnOlIgiWbAiIB2vGzhDsxnDcSoMMvL8alH+dlkkA4YDvMFrnxcEJfJCqqtJQ7MRwmkxPA1IQ+HyJoIjHXnonhW9m03mEWgMMvL+bGgcPvZPGU7kCKtEJcNoPni0QFgH7qYCt95+TSQE0dVHWN6UgcpyqrddEZl38cI7lUcAeOaBwYHYLMzpqOJDgCWg8FuPM8M98kKm785fpaLhWsRm8Xi8T1Uxc5I5vSf+NBVNcIVFQyMXaQZAO6wwxwZfdt3yQqum6AMypOkWwKKsCJCg/DdFg2DbQEsD4F7t2J4WuZZHATYxd23/ZNoqJYcOasbDq4U/GAa8/E8CsZ5P3GzzdniAgQ4PtNlZTohwIXfb75JlFBmE8cTtI1A8GdUeHA4bAgL/2AS9uOGhsBzp0L7AwegMWlbfd8vvknUYnEgakJvRuF7BfQHipLVJhLjU6R2Rk9eAT4fmNi7KBsCmhshiqvMB2JMW47tds3iYqqrgFq6lhw5gDJL3VtDPDAEY0DI4OQuXOmI/G/XBqorAJq60xHYoyKtLLpm0Mk6BsFACDqri3KvklUALDgzCnDg7rBXlPYdCTmNDQDpWVALmM6Ev/L6oFDKWU6EnMicXbfdkrAZ4sB9y01+ipRYUGtQ7IpoDmiG+0FlFJKP3W56I/Zr/QTbrAHDjRHAMnrhwSyVzYd7Po7QB9VkUu7pvu2rxIVPXAwUbGbPv484AMHoKdHeb/ZL5fRB48G2HL3bfbusR2XfqATtaXaMBfwV6LC7rTOyKUD3UNliWJi7Agmxos4Y+wMLv3oQuLGZtfMGPsqUVGROJ84nMCBQ4twRsUR2VTgBw5gaScG7zc7ydycXl7j55urtij7KlFBpBUYykHm501H4muSS7NmAICKsnjbbiKid/1wBg+IxnVrd7LPYAYoKQUamkxHYpwKx12zi9ZfiUpTMxAKAUPciWGrbCrwNQMAdLKWS0PyedOR+NfoMDB3DggHuPnWIsVjQuyXSwHhKFTIX0PjloRjrjkmxFfvhgottf51xy/Xj2R6CpgY49QooP+Q5+f0YEr2yKWAxhaosnLTkZi32H3bLTsx/IizxedxUc2nrxIVAIvTo+6YrvKlXBqoqgGqa01HYpwqKwOaWrj8YyPJcavosmgcmJ4EJsdNR+Jf2TRnixfpzQJMVGyheOaPvbL6jJ9AN986X5iJsa2y3IGxRFVWA7X1rpmO9yNuTT5PJAaMDrmi+7bvEhU9XcWBwy5svnUhFXFPwZkvZTlwXCAcg7jkKdeXuDX5ffVNurB40HzNp+8SFcU2+vbi1OiFInGewWIjfUo3B44lOjFmomIHEWHrhfOoUMg1BbW+S1QQibHgzEacUblIhFtGbcXE+ELhqCsGDl+amgCmpziDd75wzBUFtf5LVMJxYGYamGDBmS2yaf1URwAWC85c8IfsRzJ3DhgdYmJ8vnCMS9t2yaWB2jqoqmrTkbiGWwpqfZeoqMoqoK7BNa1//UTyeWCQuzAuEI4B46OQ2RnTkfjPYEafUM3mW8tUmEs/tslytniFCGdU7MPD4uwxMgQsLOjD0UirawAqKoGc+YIz38nqjrTcYXaecAwYzELyC6Yj8R3J8gyzi+kZY/NjqS8TFR4WZ5NcCmgKQ5WWmY7ENZRSiwVnvN+sxq2iq2iOAPk8MDxkOhL/Yc+elVwyg+fLRMUtlcp+I9k0K+JX45KCM9/JplgPdRFVWgo0h/n5ZgNuFFhFOAZMTUImJ4yG4dtEhQOHDXIpTo2uggW19tCJMe+3Ffj5Zo8sP98upqprgJo6459vvkxUOHDYhD0GVseBwx5svrUqFY5yqdFikl8AhrL8fFuNC8ZTXyYqiMSB4RxkgQVnVtIHdvGJ42KsibKeiCyeZMv7bQWX1A34yvAgIAI0hU1H4j7hqPEt8f5MVJpaAKV0hkzWYc3A6sIxIJdhk0ErTYzrfkhMVFbiDJ71simgOaJrgOgCbtgS78tERYVKdHU8/5gtI7MzwNgIp0ZXE44Bs2wyaKlcCqhr0H2R6AJuacLlJ5wtXkc4Zrzdhy8TFQB86rBaLg1UVOnTW+kCy00GWTdgGWE91NoicX2q7blZ05H4Bztur0mfL2W2T5RvExUW1FosmwIibL61JibG1mIh7drqG4HyclecausbrIdaWzgGDKZ1Z3JDfJuouKFS2U/YfGt9TIwtxqn4NSmlgBbeb1aSLD/f1tQS0R3JR8w1GfR1osInXAtl+YS7Lp5qaylZnMGjNfDzzVo5Lv2sRZWW6Q0qBu833yYq3DJqLRabbSAcN15w5ivcYbYufr5ZR2amgfFRdqVdj+FTu32bqPBUW4vleGDXerj0Yx2ZnweGchw41sMZFessbxSoMx2Ja5neouzfRKWuASivMF6t7Ae6+RZnVNYVjgFDOZ5qa4WhLBAKAU3NpiNxLb0Tg4mKJRYPI+RGgXUY3hLv20RFKaW38fGPuXjjo8C5WSYq6+GpttbJpYGWiO6HRKtbnMFjk8Hi8TDCTYiYncHzbaICgNOjVsmlgfpGqIoK05G41vun2rJuoFish9qEcAyYngKmzJ5q6wtZLmtvxPTStq8TFdO/XL/gwLFJTIytwXqoDamqal1TwfutaJLjKd0bCseAkUHI3Dkjl/d1ouKGw5R8gcefb4riFmVrMDHenBbu/LEEP982Vt8ElJlrMujrRIUzKhYZzHDg2AxuGbUEZ/A2R3EGr2giAgymeVzDBlQoBLREjRXU+jpRWToOnQVnxeHAsUnhOAcOK3DpZ3O4WaB4YyPAuXN6EKb1Rcx9vvk8UYnpo+IneaptUThwbIqeweN2+GLIzNRi8y3ebxsKxyA8Rbk4uTTQ0ARVzo0CG9FL22ZmjH2dqKjKxdN++dSxZZJf0H0tOHBsLBzjqbZFymdSPKV7k7i0XTzOFhfA4IyxrxMVAHzqKNbwICCi+4TQ+hrMFpz5wUI2BYSjbL61GZEYMJRhk8Fi5NJQLUxUNsNkYuz7RIVPHUXKpYGmMFQJm29tRCnFU7uLlM8k+YS7Wc3mT7X1PM6obJ7B7rS+T1Q4cBSHx58XiDsxipLPJFkPtUluONXW69hDpQDhGDA9CZl0vsmg/xMVw61/PY+FtAVhL5XicEalQNxpVhx+vm2aqq4BauqMFNT6PlHh0k+RODVamHBMz0LRlnBGpTDK8GFxXiYL3ChQMEPjqe8TFYRjwCALzraKVfGFMX0cupeJCBY4o1IYPoht3VBW/29T2GwcHqIMPYj5P1FpjgB5FpxtWS6jj5SnzWEvla2bGNd9j5iobB6XtrculwaaI9woUAhDiXGplS+WTCZx+PBhjI+Po7q6Gvfeey+2b9++4ut+8pOf4O/+7u8gIrj88svx2c9+FqWlloay7IKCM26xLYicmwVGhzhwFOK8gjNVU2s6Gm/JpaHqG3X/I9oU3UafS41bwdniLQjHIEePOH5ZS2dUHn/8cdx666145JFHcNddd+HRRx9d8TWZTAZPPvkkHnroIXz961/H6Ogonn32WSvDWIkFZ1szmAXKy4H6RtOReIaqrgGqa411cPQyyaURiraaDsNbwjFgZMjYqbaelsuwHqpAKhI3MmNsWaIyOjqK7u5u3HTTTQCAgwcPIpfLIZW68AP7yJEjuPrqq9HY2AilFG677TY8//zzVoWxKhbUblEuBbTE2HyrUDyDZWtyaYS4zFiYpVNtudxYOM6oFC4cAwbTkHze0ctalqgMDg6isbERJYvrfUophMNh5HK5C74ul8shEnl/CSYaja74GssxUdkSTo1uUTjKGbytyKVQwhmVgiyfasv7rWAyyM+3gi01GRwddvSy9hSGWOjo0aN4/fXXAQBlZWU4dOgQ6urqCnqN2e2dOHfiTdTV8/yQQkyNDQOJbag2+HsrLy9Hvcfet6lEO2R0CDUei9u08ZFBlF2+D1X8vRVkPN6GsolRVHrw92by73skl0Ztxw6UevD3ZtJIcxjVU+Mo6+ja0vc/8cQTmJubAwDs27cP+/fv3/B7LEtUWlpaMDIygoWFBZSUlEBEkMvlEA5fuPUrHA5fsByUyWRWfM359u/fv+IHGR8fh4hsOjapqUc+NYCxsbFNfw8BCwO9UDsvwbzB31t9fb3n3rd8fSOk+zgWPBa3aQupfkhz1HPvt2n5xhYs9J3BOQ/+3kz9fcvsLGR0GJPVtVAe/L2ZJM0RTJ7pRqits6DvU0qhtrYWhw4dKviali39NDQ0oKurC8899xwA4KWXXkJLSwvi8QvXnA8ePIhXXnkFIyMjEBE888wzuPHGG60KY3WRxVNtF7M42iR2bdwS3UuFNQOFkPwCMJhFKMoalYJxi3LhBtNAeQVQ12g6Es8x0SvK0qWfz33uczh8+DCefvppVFVV4d577wUAPPbYYzhw4AAOHDiAWCyGT3/60/j3//7fAwAuu+wy3HrrrVaGsVJ9E1BSqk+1jbfZey0/yaWBMAeOgp1XcKZC/m9VZImRISCfRygcA6amTUfjKSocg7z0M9NheEsuDbTwlO4tMVDzaWmikkgk8PDDD6/49/fcc88F/3zrrbfan5ycR4VCwNIZLExUNkUmJ4CpSRabbUVL9P1TbZvZ9XJTcmmgqUX3PQITlYJws0DBuFGgCOEY5Pgbjl4yOI97bIxUmFwaqK7VfUGoIKqsDGjkqbaF4MBRhHAMmJqETDl/qq1n5dLsuL1FJs6XCkyiwjNYCsSBozjcolyYLOuhtkpV1y42GeT9tllMjIsQjgEjg47WfAYmUdEzKvxD3iz+IRdHNxnkDN6m8X4rDpd/CsPEeOsam4GSkvcPdXRAYBIVHodeIO74KQ5n8ArCxLhI4RiEn2+bIiJ61w/vty3RTQadTYwDk6ggwieOQnDgKBJn8ArDxLgoPCakAFMTwPQUP9+K4fDSdnASlXAMmJpgwdlm5dJQEf4hbxVn8DZP5uZ4Snex2Etl83JpoKYOqqradCSepT/fnFvaDkyiwoKzzZN8Xvec4cCxdZE4mwxu1mBG9zlqaDIdiWdxRqUAnC0unsP3W2ASFQAsONussWFg7pzuB0Jb03Bek0FaXy4NhKNsjleMxc82p0+19SLhMmPRlMNL28H6ZGDB2ebk0kBjM1RZuelIPOv9U22582cjrIeyQEsUmJ/TDxm0Pt5vxYvEdUGyQwKVqCgW1G4KBw6LsG5gc3IpPuEWSZWVs8ngJvHzzQLhGDAxDpmZcuRygUpU2J12kzg1agnWDWwOBw6LcKfZ5rCHSvGqa4Gqasc+3wKVqLA77SbxMEJrcKlxc3IZDhwW4E6zjemNAkyMi6WU0r1UHLrfApWo6IKzDAvONiDZtO47Q0VhYrxJnFGxBmfwNjY6rA8M5UaB4jk4gxesRKUlCizM65uV1pZL6UGWisOBY0MyPQVMjnMGzwqsidpYLg00NOuDQ6koTtZ8BipR4am2G5P5OWB4kE+4VmCTwY3l0kBVDVRNrelIPI81URuTHGeLLcMZFRuFoxAHO+p5zmBWHzjV2Gw6Es9TNbVAdQ0Hj/VkUxw4rBKOAcM5/bBBq+NGAcs4mRgHLlFh3cAGsikgHGPzLavwKXddkktx2ccqjc1AyNlTbT2H9VDWWWoyKGL7pYI3GoVjbMK1Dm4VtRi3jK6PT7iWUaGSxSaDvN/WohNj3m+WaIkB52aB8RHbLxW8RCUS58CxHhbSWkqF49wyug7uMLMYE+P1MTG2jKqoAOobHfl8C1yioha3KNPqOHBYjAPH+pgYW4q9VNb2/kYB3m+WcejBP3CJCsIxYGSQp9quhU8cluJOjLVJPq9/NxEOHJbh/bY2bhSwnGpx5n4LXqLCU23Xx+JGa0V4qu2aRoZ0863miOlIfEOxl8rauFHAeg4lxoF7x1QoBIR5qu1qZHICmJpksZmVeKrt2nJpoKmFzbesxBmVNXGHmQ3CUS792CbMgtpV5dJATR1UdY3pSHxDn2rbzMFjFRw4bBCOARNjjp1q6ynZtO6mSpZxamk7kIkKC87WwK179gjHeTjhajhwWK+mDqisYmK8CibGNojEgaEsZGHB1ssEMlHhmRirk2wKioWNlmNB7Ro4cFhOKaV/p7zfVuLnm/Wawvp/h3O2XiaQiQoHjjWw2Zs9eL+tSrKcwbMFt8SvICKLO8x4v1lJlZToYnibj6UJZKLC7rSrYw8Vm0RietqZLpTL8AnXBlzaXsXkODA9xcTYDg4kxgFNVOLA1KTe5ULvY/MtW3AGbyWZnQVGh5gY24EzKitl00BdA1RltelIfEdF7F9qDGSioqprgOpaDh7nkfyCbojEJ1zrhWPA8CBPtT3fYBoorwDqGk1H4jsqwsT4Yjzjx0aROJd+bONAFugpw0NAPv9+cRRZp7FZd8Qc5Km2y7K6I61SynQk/uPgqbaewUJa+zjQ7iO4iUo4yrqB8+VSQHMYqrTUdCS+o0IlQDNPtT0fn3Bt5OCptp6RS3OHmU1UJAZkk7ZeI7CJiuIWvgsIz1yxF+sGLsQzpWyjKir0USEsqF0m2RTroewSaQUmxiFTk7ZdIrCJCgeOi2RTHDhsxLqBC+mBg4mxbSJxiM1PuZ7CpR/bqJpaoLrG1p20gU1UuIXvIln2ULFVOGZ7wZmn5NLcYWYjFYnz822RzM8DQzku/dgp0mrr/RbYRAWRODDIU22XyCCXfuykIjxfaomI6KSNU/H2CcdtrxvwjKEsEAoBTc2mI/EtFba3V1RwE5XmiD5ifmTIdCTuwKUfe4Xt38LnGeMjutizhfebbaI8X2pZLgW0RHVRO9kjEgcyTFQsp8rKgKYW1g0AkNkZYGyEMyp2isSBqQk2GQT0FHFDky76JFsoJsbLhMva9ovEOaNiG5unqzwjlwEqqoDaetOR+JaqrgFq6zgdj8UdZhw47BWNA6NDugNw0OV4SrfdlM1N3wKdqOinDs6o6FNso2y+Zbcwp+MBcAeGE+oagYpKzhgDi/VQvN9sFYkDgxnIwoItLx/oRAUONKrxAm4VdYZ+6uD9phNj3m92Ukot7jTj/SbcYWa/pjCglC5ctkHAE5VWPUgHHf+QnRFpZd0AWDPgmEgrl7YB7jBzgCop0RtUbPp8C3SioqIcOADWDDgmGmdiDLBmwCEqErN1J4YXyOQEMDXBGTwn2JgYBzpRQSQOjI9CZqZMR2JWNsWBwwFc+oE+QXqYzbccwRljXaNTU6eL2clWdibGwU5UauqAqppAP3WIiP5jZo2K/SKtwPAgZG7OdCTmDGb1SdKNbL5lNxWJ29rW3BN4+KVzOKNiD6WUHqCD/NSx3HwrajoS/2toAkpKgcEA78TI6oFDhQL90eOMiD54VfL27MTwAuEOM8foU5SZqNhCBf3wrmwaaGiGKmfzLbupUCjwibHwCdc5LRFgIQ8MB7j7djbNQlqnLDYZFBHLXzrwiQqiQR84+IfsqEgcEuClRu4wc44qLQOaw4Fe/hFuhXdOJA5MT+niZYsxUQl6wRnP+HFU0AtqhU+4zorEIZng3m9sLugcVVWtu5vb8CAW+ERFReJAkP+QM0ld5EnOiLQG+xTlXIozKg5Si3UqQSQLC7oBGR/EnGPTmT+BT1QQaQWGcnrbZABJNqWXv8gRKhrwxJjN3pwV5Jqo4RwgohuRkSPsevBnotLUDJSE9LbJIMomoTij4pzw0k6MvOlIHCeTE8D0JBMVB6kgL/1kU0BLVHdNJWeE7ZnBC3yiokIlgT0TQ2amgdFhIJowHUpwhGPA/Jz+vQdNNgnUsvmWo4K89MOO286zqft24BMVAMEtqM2ldMO72jrTkQSGKisDmlqCmRizHsp5kTgwOQ6xYSeG67GQ1nEqbM9SIxMVLK2rBTBRySSBSFw3viPnBDUxziT1+VrkGFVdqztwZwM4q8IZFedF4sCw9TWfTFQAXakc0CdcDhzOU0EtcMwkAd5vzgvq0naWPVQc19isj8jIZSx9WSYqgC4m5cBBTglooiJZ3m8mqGhAZ/B42KrjVCikE2OLtygzUQH0h2fOnta/bibZFA8jNCFiT8GZ62W4w8yIsH1nsLiVTI4Dk+PcKGBCpFU3drQQExVA/yHPzQGjATsTg0s/RgSxO63MTAFjIxw4TAhiYpxJAXUN3GFmgLJhqZGJCs7biRGgglqZO6cbIjFRcV6kFZgYh0xNmo7EORnuMDNFRYO3tC2ZAX62mRKNc0bFNkHbiZFLA2VlQEOz6UgCR9XUAtW1wTosbrE+hTvMDAjHg9d9m8uMxugtypxRsUXgzvzJpIAIBw5jAlZQyx1mBgWx+3YmCcR4vxmx2GTQyppPJipLAlY3INkBNt8ySEVbIQFaauThl+aoUAnQEqyCWsnw882YcByYnQHGRy17SSYqS4K29MMnXLMC1ttCuBXerKAV1GaSUCzcNkJVVAANTZYmxkxUFqlo8KbiuTXZoCAOHJyKNyZIO81kagKYGGNibJLFn29MVJYE7UyMbIozKgYFaSeGzM4CI4McOEyKWL8Tw7Uyi4df1tSajiSwrK75ZKKy6P0zMfw/eMj8PDCY4cBhUiRAOzFyKaCiCqhrNB1JYAVqRoX1UOZFE0BmwLKXY6Jyvkg8GAWOQ1kACmgOm44kuBpbgrMTI5MEojz80igbdmK4ViYJFWN9ilGxBCTNRMUWgXnqyKaAcEzvBiAjls/ECMD9xkJaF1jeiTFiOhL7ccePcWpxRsWqxJiJyvkCcjghBw6XCMpOM+4wM05VVOhZvDQTY3JArBWYmgQmxi15OSYq54sGZCdGJqlnj8goFZCmb5JlzYArxBKQdL/pKOzHpR/jVGW13qJsUZ0KE5XzBGXpR7J84nCFoGxRZk8LV1Axawsc3Uimp3SjMX6+mRdttSwxZqJyvmgrMDwImfP5TgxOxbuCirT6/tgGmZvTxdu838yzuMDRlTJJoKYOqoaHX5qmognLlhqZqJyvoVkf1Jfzb78Byef1cgOn4s2LJYBMUr8nfrV8+GWT6UgCTw8c/k5UeGqyi1g4g8dE5TxKKV0d7+fln5FBYGEBCEdNR0LhGJBfAIZzpiOxz2JPCxXiR41xsTb/J8Y8Ndk1VCyhE0cL8NPjYn6vG8gkgeYwVGmZ6UgCT5WW6sQ45d8CRx4O5yKRGDA/DwwPmo7EPjw12T0Wl36s2KLMROUiKubv6VHJpjg16iZ+34nBeijXUKVleibVxwW1XPpxkUgrMDsNjA4X/VJMVC4WhIGDT7iuoeJt/k6M2dPCXfj5Rg5RFRVAU9iSxJiJykVUbBsHDnJOrM3fA0eWMypu4ueCWpmZAsZGdBEnuYNFO82YqFwslgCGspBzs6YjsQen4l3Fz0uNMj8H5Hj4pav4eYtyJglU1+jDZckVdCv94jenMFG5WEMTUFHpy/4WIrK4NZldaV0j1gYMZvzZu2cwqw9ebGoxHQktUjEfLzUu7TDj4ZfuEbOm6RsTlYsopfTg4cfp+PERXdzERMU9GpuBsnJ/bonPJIFwnIdfukm0FcilIPPzpiOxnLB1vutwRsVGKtYG8eOW0UwSaGyGqqg0HQkt0omxP5d/WA/lQi0RIBQCBjOmI7Eed/y4j0VNLZmorCaW8OWMimS47ONGyq8FtSykdR0VKtHbRn14v0mGh1+6Tjiue/eMFNe7h4nKauJt/iw4ywxw4HAjzqiQkyzsGOoqmRSXflxGlZXpWbwiP9+YqKxCxdqAVL8lHfVcJdUPxLaZjoIu5tcZFfa0cCU/7jSTmWlgdIiJsRtFi99pxkRlNbEEMDUBTIybjsRSkuqDam0zHQZdxJcDx8KCPpCQA4f7xHw4Y5xNAVU1QG296UjoIirWWnTTt1IrAsnn8/j2t7+N1157DQBw55134o477lj1a++77z6UlpaivLwcAPDJT34SN9xwgxVhWEZVVundGOk+oO4y0+FYQvILejCMc0bFdWIJYGwEMjUJVV1jOhprDGUBCNDCwy/dRlnwhOs6i8uM3JrsQrE2yDuvF/USliQqzz33HPr6+vDII49gamoKn//853H55Zdj+/btq379H//xH6Ozs9OKS9tn8alD7fJHooLBLCB5XdxErqJq6vSTYHoA6NptOhxrpPuBlhhUCbcmu855TS1VeYXpaCwhrL9zLRVNQP7pH4t6DUuWfl544QV89KMfRSgUQm1tLW644QY8//zzVry0MUt1Kr6R6gcicX1iL7mPz85gkVQf0MrZO1dqaAIqqvzV1JKF2+4VawWyKb0cvEWWjFq5XA6RSGT5nyORCE6ePLnm13/zm9+EiGDXrl34zGc+g/p6F64rxtsgJ4+ZjsIykurjso+L+a5jaLIfivebK+nePYt1A9s6TYdjCckkoXb7ZPbbb1piAAQYzgHbtvaZsKlE5Ytf/CJSqdSq/+2rX/1qQRf88pe/jHA4jPn5eXznO9/B4cOH8eCDD6759UePHsXrr+v1rbKyMhw6dAh1dfaf5TDXtQtTL/zYnUnUFkwOZqA6dqDaYz9PeXm5b96D9Uy378DC2VOo9cnPOp5NovzmO1BR4M8TlPfbtIm2DpSODKLS8O/aqvd7JJtEbeculPLecaXRaAJVE6MAgCeeeAJzi0eG7Nu3D/v379/w+zeVqDz88MPr/vdwOIxsNos9e/YAALLZLMLh8JpfCwClpaW488478cADD6z72vv371/xg4yPj9u+dVjqm5BP9WF0ZNgXLcAXek9D3fBRzI+NmQ6lIPX19RjzWMxbIU0tyL/wE9/8rAt9Pcg3tGC2wJ8nKO+3afnmCObPnsY5w79rK95vmZqEDA9isqEZiveOK+XDMUyd7UbT9R/BoUOHCv5+S2pUrr/+evz4xz9GPp/HxMQEXnjhhVV38szMzGBycnL5n59//nl0dXVZEYL1WmKAQBeh+kGqDyrOrcmutbj044fePTI5DoyPskbFzfy0RTnVB9Q16KJ0ciUVS+gt5FtkSY3Khz/8Ybz33nu4//77oZTCJz7xCbS3twMAXn75Zbz88su45557MDo6ir/6q79CPp+HiCAWi+G+++6zIgTLqZIS3W4+3e/5tvMyOQGMjQBMVNwrEgfOzQCjw3prvJel+oGGJqjqWtOR0BqUj4q3JdkHtK6+w5RcIpqAHH9jy99uSaISCoXw2c9+dtX/duDAARw4cAAAEIvF8LWvfc2KSzojloCk+qGuuNp0JMXhE4frqfIKoHmx1bTHExVJ9rJw2+1iCWB81B+9e5K9LNx2ORVrhTz3wy1/PzvTrkPF/bETQ9L9nIb3Ar885XKZ0fV07566ojuGugG3wntArA0Yym3525morMcvZ7Ck+vT2V3I1v7TSl1Q/Z1S8wC91KsleKC79uFtTGAhtPd1gorIO3dvC+4mKJDlweIJfEmMOHJ6goq2eT4xl7hyQTXNGxeVUKASEY1v+fiYq64nr6SqZnTEdSXHS/VD8Q3Y9PaPi7URF5ub0wMHE2P380GQwPQCUV+gndnK3IjoHM1FZT12DPpHTw62mZX5ex8+Bw/1ibUW3mjYukwTKyoCmFtOR0EaiCYjHa1Qk2QfE23gYoQeEfmv1DTeb+l4L4/AdpZRupe/lM39yaUApoCWy8deSWS0RAAoYTJuOZOtSesePKmI9mpyxVBPl6d49qT4uM3qEqm/c8vfy02QDnp+OT/UBsYQvuuv6nQqV6OlRD0/HS7KPW0W9IpYApieB8RHTkWxdspf1KQHARGUjHi+olXQ/G715ide3KKf6gFbeb16gKiqB5jCQ7DMdypZJkjMqQcBEZSNe38LHJ1xP8foWZUn1c+DwkkQ7ZOCs6Si2RPIL+iGSn2++x0RlAyreBqT6PbuOK6k+zqh4iYcTY8nn9YwKBw7PUIkOwKOJCgazQH7B80ec0MaYqGwk2rq4jjtqOpKtSfVzRsVDVHwbMNBrOoytGRkEzp0rahsiOczDMypI9gLRBFSpJSfBkIsxUdnA8jquB3f+yPgYMDnOGRUvSbQDo0P6BGKvSfUB4ShUWbnpSGiTVKIdGDjryRljfRghH8KCgInKZni1Y2iqD2hshqqsNh0JbZKqqQUaW4B+7z3l8hRbD2rdBkyM69PVvSbZCxXn/RYETFQ2QcXb9DSjxwjrBbyprR0ycMZ0FIVLsXDba1RlFdAS9WSdCg8jDA4mKpuR6IB48AmXA4c3qbYO786ocJnRezxYpyIiekcjZ/ACgYnKJqhtHUC/955weYqtRyU6vDujwoHDc1SbB3f+jI8AUxNMjAOCicpmJDp0gePEmOlICpPq08tW5CmqrR3o91aBo0xNAKPDHDi8yIMzKkj2AS1RvdmBfI+Jyiao6hq988dD0/E8xdbDWrfrp8XRYdORbF6qH6hrgKqtNx0JFUglPJgYJ3uZFAcIE5XNauuE9PeYjmLzeIqtZ6mKSiAcAzy0/MPCRg+LbwNmpoCRIdORbB7rUwKFicom6QJH7wwcSC8ef85TbL2pzWMF3DyqwbNURcViYuyd+014GGGgcBTbrLYOiIcSFUn2QcU4NepVKuGtxJhb4T2urcNbdSrJPvZQCRAmKpu0VBnvmXXc/jNAW4fpKGir2jxW4Mit8J621KHWC2R6Sh/XwKWfwGCislnxbcDsDDCUNR3JpkjvaahtXabDoC1aTozzedOhbEjm53RNFKfivSvR7p0Z41QfUFsPVcfC7aBgorJJqqwMiLUBfe7/Y5Zzs0B6ANjeaToU2qpYApifAwYzpiPZWDYFlJQCzRHTkdAWqUQ7kOz1xIwxz/gJHiYqBVDbPLLzp/8sUFUNNIVNR0JbpEoXE2MPTMdLXw+QaGfhtpfF24DZWWAoZzqSjaV6ueMnYPjJUojFfgNuJ32nge1dUEqZDoWKoLwyHd/bDdW+w3QUVARVVg7EWr2RGHNGJXCYqBRAbevwxoxKXw/Utk7TUVCx2rxR4Ci9OjEmj/NKh1puhQ8cJiqFaOsEUv2Q+XnTkaxraUaFvE155TDM3tNQvN88T3eodfcMnszOAJkBgA9igcJEpRAtUaC0FEj3m45kTSIC9PZwx48ftHUAqV7IwoLpSNYkY8O61T8HDu/zwoxK72mgth5oaDYdCTmIiUoBVCjk/m18Q1lgdhpIsNjM8yIxQIX01l+36u0Boq1QldWmI6EiLe/8cfGWeOntBtp3sP4uYJioFMj1rfR7TwPxbbo4jjxNhUp0UysXn/kjvd1cZvSLWAJYmHf3lvizLNwOIiYqhXJ5K33pY6M3P1FtLp/BY2NB31ClZUA0AQz0mg5lTXK2G9i+03QY5DAmKgVSbR1AX4/pMNYkvT1s9OYnLj+cUHpPQ23nE65fKBfXqcj8PDBwhjMqAcREpVBtHcBgBjIzZTqS1XFGxVdUosO1Sz8yOwuk+rn04yeJdtfeb0j2AqVlQCRuOhJyGBOVAqn6RqCuwZWN32RmWrcz58DhH23tQDoJmTtnOpKVBs4ANTVAU4vpSMgiysWHYcrZbmBbFzsgBxDf8a3Y1unOuoH+M3rrXn2j6UjIKk1hoLISSPaZjmQFXUjLHRi+kmgHkn2QvAu3xLMDcmAxUdkCt+78kd7TwLZODhw+opRa7G/hvvuNjd58KNIKSB7IpExHsoKcPQUwUQkkJipb4dZeKn0cOPxIJ8bum45n63z/UaWlwLYuyJn3TIdyAcnnFxNjJipBxERlC9S2TqC/x3VHoktfD8BCWv9JuG9LvOQX9JlSHDh8R3XuBnpOmg7jQrkUMDfHRpYBxURlKxLtwOQEMDZiOpJlks8DfWeguDXZd9S2Dt3Iz00yKWBhAYi1mY6ErNa1G+K2ROVsN9DWrnu9UOAwUdkCVVEJhGOAm05SzqWB+TmAp4r6T8dOYHQIMjxoOpJl0nsaaOvQSwXkK6pzN3D2lKvOmJKz3Zy9CzAmKlvV1gHpc9F0fN9poHU7nzh8SFVW61m80ydMh/K+3m7WQ/lVvA1QJYCLtikvnfFDwcREZYtUx07ARQVn0tvDZR8fU527IT3uSVSkr4eFtD6lQiVAx053Lf/wjJ9AY6KyRWrHXkj3cdNhLJO+0yyk9bMdeyDd7klU9IwKBw6/clNBrYwMAeOj/HwLMCYqW9W5R7fSHxs2HYnGnha+prr2Aj3vuaIRl4yNACNDwLZO06GQTZSbCmp7u4FoAqqyynQkZAgTlS1S1TW6cNUFT7kyNamPZucTh38l2nUjrmS/6Uh0PVQkDlVVbToSskvnbqCvB3Ju1nQkupCWyz6BxkSlCHr5513TYejTnBuboerqTUdCNlEli3UDp80vN+pGbxw4fK0lClTXumJbvJzt5v0WcExUirHzElfUDbA+JRhU117gtAum489ymdHvlFJAp0uWf3jGT+AxUSmC2rEX6Dlpvt9Az0mo9p1mYyDbqa7dLplRYSFtELihoFamJvWJ8ExUAo2JSjFatwFKGe83IO+9A7X7MqMxkAO69gL9ZyCz5uoG5NwskOrn1uQAcEVBbe9poLEFqq7BbBxkFBOVIqhQCdC1x+g2ZRkZBHIZYOclxmIghzSHgdp64OwpczH09QA1NUBTi7kYyBmdu4FUP2RqwlgI0ssTk4mJStFU117AZKJy8h1geyd3YASAUkonxgaXf+Tk28DOS3Us5GuqvhFojgBnDCbGZ7u5rE1MVIplfOfPe29D7eKyT1Corj1GC2rl5DGoPZcbuz45zHBBLbcmE8BEpXg79gLpAcjkuJHLy8ljABOVwFBdeyCGzvyRfB44eQxq9xVGrk/OUwYTFZmaAAZ6ga7dRq5P7sFEpUiqrh6IxI0cGCdTk0DfGajdlzp+bTKkczcwlDXTEbn/DLCQZ81AgKgugzt/Tr4NRFuhGlkPFXRMVCxg7Nyf7uNAOMo/5ABZ7ohsYPlHThwDdl2im89RMHTsAoYHIaPOJ8Zy/E2ovVc6fl1yHyYqVjCUqMjJt6F2cTYlaFTnbiONBuXkW1C7WZ8SJKqqGoi1GZlVkeNvAnu5zEhMVCyhduwFTp/Qa/gOkvfeZn1KEO3YA+lxNlEREeDEMag9HDiCxkSdikxOAL09nFEhAExUrNHWCczPAWnnDoyTuTng9Ak+4QbQ0s4fRxPjVD8wM61rZChYTBTUnnwLiCWgGpqcvS65EhMVC6jSUqBjl7PLP2dPARUVQLzNuWuSOywnxgOOXVJOvgXs2AtVVubYNckdlgpqRcSxa8rxt6Au4WwKaUxULKJ2ONv4bWnZh423gkeVlgLtO5zdpnziGGfvgmp7FzA9DWSTjl1Sjr8J7GGiQhoTFYs4vfNHTr7N830CTC//OJOoiAjkBBu9BZUqKwd2XQo5dtSR68nkuG67sJf3G2lMVKyyYy/QfxYyM2X7pSSfB957hx1pg6xrj3MdkXNpYGwY2MHzpIJKXfFByFuvOHOxE8eAeBtUPetTSGOiYhHV2AI0NTvT3yLVB8zNsvFWgKlLrgT6ehxp/CYnjwGdu6EqKmy/FrmTuuJq4N3XIXPnbL8W+6fQxZioWEh17YWcsv8pV06+DXTthSplYWNQqfomXcD9pgNPuSfYPyXw2jqAmno922EzOf4mC2npAkxUrHT5B5yZHn2P9SkEqKuugbzxK9uvw/oUUko5svwjE2NA/1mA/XroPExULKT2XaMbv9ncblp3pGWiEnRq37XAsaO6p45NZHgQyGWAneyAHHTqiqvtfxA78RaQ2A5V12DvdchTmKhYSNU36SLH139p2zVkKAcM5YCde227BnnEtk6gukZ/uNtETh4DtnfpM4Yo2C7dB2RTkGzKtkvI8bfY/ZhWYKJiMfWB6yBHX7Lt9eW9t/XAUVlt2zXIG5RSUFcdsHf558RbXPYhAIvn/uy6DPLWq7Zdg4W0tBomKhZT+68D3jlq3zblt4/yiYOWqX3XQt74lW1dQ4Xn+9B57KxTkfFRYID1KbQSExWLqVgCiLQCx16z/LVlbg7y6otQB260/LXJo/ZeqXucDPRa/tIyPqq3wrMeihbpbcpv2LNN+cQxINEOVVdv/WuTpzFRsYHafxDy2hHrX/jYK0BNrW4uRwRAlVcAl+63ZflH3vgVsH0HBw56X1sHUFMHnLR+m7IcfwPqkqssf13yPiYqNlD7D0LefBkyP2/p68pLP4e69sM834cuYFedirz4U6jrb7b8dcm7lrcpv2l9nYq8+yaXGWlVTFTs0LkbKKuw9KlDZqYgb/wS6toPW/aa5A/qymuA7nd1DwqLSC6tj2ng/UYX0duUX7b0NeXsKWAwo3cWEV2EiYoNVCgEtf9aS5d/5OhLQKQVqq3Dstckf1BNLcC2LkuLHOXIPwGXf4DnrdBKNmxTll88A3XNTXpnEdFFmKjYRO0/CHn9Jct2Y8gvn+PTLa1JXXUN8IY1T7kiAnnxpwhdf4slr0f+YvU2ZTk3CznyM6gP3WbJ65H/MFGxy96rgKlJ4Gx30S8l42N6W/I1N1kQGPmR2ncN5K1XramL6j4OTIwC+64t/rXIl6zcpiyvvgg0NgM7eTo3rY6Jik1UWRnUlQcgR4tf/pFXngc6d0FF4hZERr7UvhMoLwfee7vol5IXfwJ14CaosnILAiM/snKbsvziGagP3cZNArQmJip22mdNnYr88mdQ13DZh9amQiGdGBe5+0fm5iC/eg6Kyz60nrYOoCkM+dVzRb3MQrIPOPUO7zdaFxMVG6krDwCp/qKKzmQoC3Qfh7qGTd5ofWrftZBXXoDMF3FI4Ru/BGrrOQ1P61JKQX3sNyH/8DeQ/MKWX+fcT78Pte8gDyGkdTFRsZGqrgH2XqGXbrZIfvULYO+V3H1BG7vyAFBeAfnFM1t+ifyLP4W6/hZOw9OG1MGbgYV5/Rm1BTI/j9mf/QDqptutDYx8h4mKzUK3fBzyw6chUxNb+n755c+grv2IxVGRH6mSEoR+47ch33sKMjtb8PfL2Ajw1qtQ13EanjamSkuhPv7PIf/wFCSfL/wF3noZqqyMvVNoQ0xU7LbvILC9C/K9Jwv+Vkn2AQO9UB+4zobAyJc+eD3Q2Az5yfcK/lb55c+BnZdAhWM2BEZ+pK7/KDAzDbz2YsHfm3/uGZTf/HGoEIchWh/vEJsppRC6+/ch//SPkFR/Qd8rP/8BcOXVegmJaBOUUgh96ncgP/hbyGRhs3iyuOxDtFmqrAzqjk8h/70nC5pVkeFB4NhrqLj5YzZGR37BRMUBalsn1I0fRf5vvrXp75F3Xoc89yOE7vptGyMjP1KX7Qfad0J++N83/T3y3ttAqhfqahZtU2HUh24Dxkd1IfYmyQs/Bi69CqFw1MbIyC+YqDhE/fpngPfe3lQ3RxkbQf4//Qeou38fqq3dgejIb0Kf+h3IT74HGR3e8GtleBD5x74G9Rv/ii3MqWCqvALq9k8i/72nNtWJW8bHID//AUIfYhEtbQ4TFYeounqoX/uXyD/1n9btHir5PPL/+RGoXZexGp62THXtAS7bD/mH9WujZHYW+cMPQ115NdStv+5QdOQ36iN36EMFN3gQk6kJ5P/jl6C69gIfOOhQdOR1liQqr776Kr7whS/g0KFD+Pa3v73u1yaTSfzpn/4pHnjgATz44IPo7e21IgRPUDd/HBCB/OwHa36NPPtdINkL9Tv3cYsoFSX0G78N+cWza/bxERHItx8BysuhPnMP7zfaMlVRCXX7byD/ve+sOasiM9PIf/0hoKEZ6rP/FipU4nCU5FWWJCrxeBx/+Id/iF//9Y2fyB5//HHceuuteOSRR3DXXXfh0UcftSIET1Clpbqw9u+fgEyMrfjvcvok5LtPIPQHfwJVXWsgQvITlWiHuuYm5P/r45DBzIr/Lt97EnL6BEJ/+CBUaZmBCMlP1C0fBwYzyP9fX4K8984F/03O6Zk7lJUjdM8XeL9RQSxJVBKJBDo7OxHaYJvZ6Ogouru7cdNN+nC9gwcPIpfLIZWy7rhwt1NXXg3svAT5L9+PhcN/jvzf/1fI0ZcgyT7k//ovoH7tX0CxKyhZRH3ytwER5L94Dxa++r8j/9PvQ8ZHIa88D/nR0wj9L3/KrqBkCVVZjdCXvwnVtRf5//hnWHjkzyCnT0Dm55B/7KvA3DmE7vsiVHmF6VDJY0qdvNjg4CAaGxtRUqKn/JRSCIfDyOVyiMc3f+Ce16eoS+59EOg+Aek/DfT26FNI00moS69C6H/6lOd/Pqvx97F1qimM0L/5M8jEGOTVI5BXfgH5+yeAUAgl//PnobZ3mQ5xBb7f3qVq64FP/SvI7b8B+fHfQw4/DNQ1QFXXIPTAn61arM33OxiKeZ83lah88YtfXHPW46tf/SrC4fCWA9jI0aNH8frrrwMAqqqqcPfddxeU1LhWe4fpCDyjtpbLYMVrBXbvBX7rd00HsiG+337QCuz+E+CeP9nwK/l+B8tTTz2F6elpAMC+ffuwf//+Db9nU4nKww8/XFRgS1paWjAyMoKFhQWUlJRARJDL5dZNdPbv33/BD/LUU0/h7rvvtiQecr8nnngChw4dMh0GOYTvd7Dw/Q6WrY7fjm5PbmhoQFdXF557Th8N/tJLL6GlpaWgGZKlTIyCYW6uiJOAyXP4fgcL3+9g2er4bUmNyptvvonDhw9jenoaIoIjR47gs5/9LA4cOICXX34ZL7/8Mu655x4AwOc+9zkcPnwYTz/9NKqqqnDvvfdaEQIRERH5kJLNtBJ0kaNHj25qTYv8ge93sPD9Dha+38Gy1ffbc4kKERERBQdb6BMREZFrMVEhIiIi12KiQkRERK7FRIWIiIhcy9EW+lv16quv4sknn0Rvby9uv/12/N7v/d7yf8vn8/j2t7+N1157DQBw55134o477jAUKdnhqaeewg9/+EM0NzcDALZv347777/fcFRkpWQyicOHD2N8fBzV1dW49957sX37dtNhkU3uu+8+lJaWory8HADwyU9+EjfccIPhqMgq3/rWt/DKK68gm83ia1/7Gjo7OwFs/e/cE4nK0unMR44cwczMzAX/7bnnnkNfXx8eeeQRTE1N4fOf/zwuv/xyfsj5zE033XRBgkr+snSq+s0334wjR47g0UcfxVe+8hXTYZGN/viP/3h5ACN/ue6663DXXXfhS1/60gX/fqt/555Y+lnvdOYXXngBH/3oRxEKhVBbW4sbbrgBzz//vIEoiWgreKo6kb9cdtllaGlpueDfFfN37okZlfXkcjlEIpHlf45EIjh58qTBiMgOL774Io4dO4ba2lr85m/+Jq644grTIZFFrDpVnbzlm9/8JkQEu3btwmc+8xnU19ebDolsVMzfuSsSFZOnM5N5G73/t99+Oz71qU+htLQU7777Lv7yL/8SX/nKVy5IUInIO7785S8jHA5jfn4e3/nOd3D48GE8+OCDpsMil3JFolLM6czhcBjZbBZ79uwBAGSzWSY2HlPI+3/JJZegq6sLp06dYqLiE1s5VZ28bem9LS0txZ133okHHnjAcERkt2L+zj1Ro7Ke66+/Hj/+8Y+Rz+cxMTGBF154gdXjPjM4OLj8/5PJJHp6etDe3m4wIrKSFaeqk3fMzMxgcnJy+Z+ff/55dHV1GYyInFDM37knzvq5+HTm6urq5dOZ8/k8vvWtb+Ho0aNQSuFjH/sYPv7xj5sOmSz0zW9+E6dPn0YoFEIoFMInP/lJXHfddabDIgsNDAzg8OHDmJiYWD5VncmoP6XTafzVX/0V8vk8RASxWAy/93u/h2g0ajo0ssjjjz+OV199FSMjI6irq0NlZSW+8Y1vbPnv3BOJChEREQWT55d+iIiIyL+YqBAREZFrMVEhIiIi12KiQkRERK7FRIWIiIhci4kKERERuRYTFSIiInItJipERETkWv8/PiLhwd0cb2QAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use('ggplot')\n",
    "plt.plot(x,y)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.10"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
